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We show that a one dimensional ultra-cold Fermi gas with Rashba-like spin orbit coupling, a Zeeman field and intrinsic attractive interactions exhibits a novel topological superfluid state, which forms in spite of total number conservation…

Quantum Gases · Physics 2015-04-09 Jonathan Ruhman , Ehud Altman

We propose a class of topological superconductivity in which the pairing order is $\mathbb{Z}_2$ topologically obstructed in a three-dimensional time-reversal invariant system. When two Fermi surfaces are related by time-reversal and mirror…

Superconductivity · Physics 2020-11-17 Canon Sun , Yi Li

We identify three-dimensional higher-order superconductors characterized by the coexistence of one-dimensional Majorana hinge states and gapless surface sates. We show how such superconductors can be obtained starting from the model of a…

Mesoscale and Nanoscale Physics · Physics 2019-08-13 Sayed Ali Akbar Ghorashi , Xiang Hu , Taylor L. Hughes , Enrico Rossi

We self-consistently study surface states of superconducting topological insulators. We clarify that, if a topologically trivial bulk s-wave pairing symmetry is realized, parity mixing of pair potential near the surface is anomalously…

Superconductivity · Physics 2014-11-27 Takeshi Mizushima , Ai Yamakage , Masatoshi Sato , Yukio Tanaka

Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) superfluids, Cooper pairings with finite momentum, and Majorana fermions (MFs), quasiparticles with non-Abelian exchange statistics, are two topics under intensive investigation in the past several…

Quantum Gases · Physics 2015-06-23 Zhen Zheng , Chunlei Qu , Xubo Zou , Chuanwei Zhang

Most superconducting materials are well-understood and conventional in the sense that the pairs of electrons that cause the superconductivity by their condensation have the highest possible symmetry. Famous exceptions are the enigmatic…

We further investigate a class of time-reversal-invariant two-band s-wave topological superconductors introduced in Phys. Rev. Lett. 108, 036803 (2012). We show how, in the presence of time-reversal symmetry, Z_2 invariants that distinguish…

Superconductivity · Physics 2015-06-15 Shusa Deng , Gerardo Ortiz , Lorenza Viola

We consider a system consisting of two tunnel-coupled two-dimensional topological insulators proximitized by a top and bottom superconductor with a phase difference of $\pi$ between them. We show that this system exhibits a time-reversal…

Mesoscale and Nanoscale Physics · Physics 2020-11-13 Katharina Laubscher , Danial Chughtai , Daniel Loss , Jelena Klinovaja

We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical…

Mesoscale and Nanoscale Physics · Physics 2018-09-03 Zhongbo Yan , Fei Song , Zhong Wang

High spin-Chern-number topological phases provide a promising low-dimensional platform for realizing double-helical edge states. In this letter, we show how these edge states can host a variety of phases driven by electron interaction…

Strongly Correlated Electrons · Physics 2025-06-23 Yi-Chun Hung , Chen-Hsuan Hsu , Arun Bansil

Majorana boundary quasiparticles may naturally emerge in a spin-singlet superconductor with Rashba spin-orbit interactions, when a Zeeman magnetic field breaks time-reversal symmetry. Their existence and robustness against adiabatic changes…

Mesoscale and Nanoscale Physics · Physics 2017-07-18 C. Dutreix

We find a new class of topological superconductors which possess an emergent time-reversal symmetry that is present only after projecting to an effective low-dimensional model. We show that a topological phase in symmetry class DIII can be…

Mesoscale and Nanoscale Physics · Physics 2017-11-01 Christopher Reeg , Constantin Schrade , Jelena Klinovaja , Daniel Loss

Superconductivity in Dirac electrons has recently been proposed as a new platform between novel concepts in high-energy and condensed matter physics. It has been proposed that supersymmetry and exotic quasiparticles, both of which remain…

In the presence of both space and time reversal symmetries, an s-wave A1g superconducting state is usually topologically trivial. Here we demonstrate that an exception can take place in a type of nonsymmorphic lattice structures. We specify…

Superconductivity · Physics 2022-02-17 Shengshan Qin , Chen Fang , Fu-Chun Zhang , Jiangping Hu

We propose a scheme based on topological insulators to generate Kramers pairs of Majorana fermions or parafermions in the complete absence of magnetic fields. Our setup consists of two topological insulators whose edge states are brought…

Mesoscale and Nanoscale Physics · Physics 2014-11-05 Jelena Klinovaja , Amir Yacoby , Daniel Loss

Topological phases like topological insulators or superconductors are fascinating quantum states of matter, featuring novel properties such as emergent chiral edge states or Majorana fermions with non-Abelian braiding statistics. The recent…

Quantum Gases · Physics 2016-03-30 Bo Liu , Xiaopeng Li , W. Vincent Liu

Superconductors (SCs) with nontrivial topological band structures in the normal state have been discovered recently in bulk materials. When such SCs are made into thin films, quantum tunneling and Cooper pairing take place between the…

Superconductivity · Physics 2023-12-19 Xi Luo , Yu-Ge Chen , Ziqiang Wang , Yue Yu

Topological Fermi superfluids have played the central role in various fields of physics. However, all previous studies focus on the cases where Cooper pairs have zero center-of-mass momenta (i.e. normal superfluids). The topology of…

Quantum Gases · Physics 2014-12-30 Yong Xu , Chuanwei Zhang

Theoretical prediction of topological superconductivity is key to their discovery. Recently, it is proved that in 199 out of 230 space groups, topological superconductivity coexists with an $s$-wave-like pairing symmetry, raising the hope…

Superconductivity · Physics 2025-07-11 Zhongyi Zhang , Ken Shiozaki , Chen Fang , Seishiro Ono

A topological superconductor is characterized by having a pairing gap in the bulk and gapless self-hermitian Majorana modes at its boundary. In one dimension, these are zero-energy modes bound to the ends, while in two dimensions these are…

Mesoscale and Nanoscale Physics · Physics 2018-09-20 Arbel Haim , Yuval Oreg